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Finding the Fourth Proportional to 548.78, 824.57 and 517.28

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Solution

The fourth proportional to 548.78, 824.57 and 517.28 is: 777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.78 : 824.57 = 517.28 : x
  2. Step 2: Convert to fraction form
    548.78/824.57 = 517.28/x
  3. Step 3: Cross multiply
    548.78x = 824.57 × 517.28
  4. Step 4: Simplify right side
    548.78x = 426,526.86
  5. Step 5: Solve for x
    x = 426,526.86/548.78
  6. Step 6: Final answer
    x = 777.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.